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Implementation of the Finite Element Method (FEM) and the Proper Orthogonal Decomposition (POD) to study the heat equation

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heat

The project heat is a programming assignment of the course "Evolution problems" taught at the Ecole des Ponts Paristech by Virginie Galland Ehrlacher and Frederic Legoll.

This course aims at introducing students to the mathematical and numerical study of partial differential equations modeling the evolution across time of a quantity of interest. Evolution problems are presents in a myriad of domains, both in the industry of within academic research, in physics, chemistry, biology, finance, ect

Objective

The goal of this project is to implement the Finite Element Method (FEM) and the Proper Orthogonal Decomposition (POD) to study the heat equation.

Installation

To run the project, you will need anaconda.

Usage

Simply run the jupyter notebook !

Final grade

16,5/20

Credits

Virginie Galland Ehrlacher

Frederic Legoll

License

MIT

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Implementation of the Finite Element Method (FEM) and the Proper Orthogonal Decomposition (POD) to study the heat equation

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